13238400 has 192 divisors, whose sum is σ = 50086080. Its totient is φ = 3010560.

The previous prime is 13238399. The next prime is 13238411. The reversal of 13238400 is 483231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67102 + ... + 67298.

It is an arithmetic number, because the mean of its divisors is an integer number (260865).

Almost surely, 2^13238400 is an apocalyptic number.

13238400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040).

13238400 is an abundant number, since it is smaller than the sum of its proper divisors (36847680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13238400 is a wasteful number, since it uses less digits than its factorization.

13238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13238400 is about 3638.4612132054. The cubic root of 13238400 is about 236.5620997645.

The spelling of 13238400 in words is "thirteen million, two hundred thirty-eight thousand, four hundred".